The generator matrix

 1  0  1  1  1 X^2  1  1  1  X  1  X  X  X X^2
 0  1  1  0 X+1  1  1  0 X^2  1 X+1  1  1  X  1
 0  0  X  0  0 X^2  0 X^2+X X^2+X X^2  X X^2  0  X  X
 0  0  0  X X^2  X X^2+X X^2+X X^2 X^2+X X^2+X  X  X  0  0

generates a code of length 15 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+142x^12+64x^13+248x^14+128x^15+247x^16+64x^17+104x^18+26x^20

The gray image is a linear code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.16 in 0.00942 seconds.